MAEER's MIT Arts Commerce and Science College, Alandi (D) Tal: Khed, Dist: Pune, pin, 412105, (Maharashtra), INDIA.
2000 mathematics subject classification: Primary 46F12
In this paper Hankel type transform is defined on H′α,β,K, by using kernel method. Hankel type convolution is defined and analyzed on H′α,β,K and it is established that Hankel type convolution is a closed operation in H′α,β,K, shown that the generalized Hankel type transformation satisfies the interchange formula. Finally some algebraic properties have been studied.
Hankel type transformation, Hankel type convolution, distributions. Bessel type operator, Hankel type translation operator